perplexus.info :: Just Math : Sparse Sine Settlement

Sparse Sine Settlement (Posted on 2014-09-03)

Find the minimum positive integer N such that:

(sin 45^o)^-1*(sin 46^o)^-1+ (sin 47^o)^-1*(sin 48^o)^-1+.....+ (sin 133^o)^-1*(sin 134^o)^-1
= (sin N^o)^-1

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The minimum value of N is 1.
For an explanation, refer to:
The solution submitted by Charlie in this location.
The analytical solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
An identity to prove	Brian Smith	2017-06-24 12:44:20
computer-aided solution	Charlie	2014-09-03 18:03:11

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